{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "EkU-zuUoy88m"
   },
   "outputs": [],
   "source": [
    "##### Copyright 2021 The Cirq Developers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "cellView": "form",
    "id": "Bo7aAYM6zAuV"
   },
   "outputs": [],
   "source": [
    "# @title Licensed under the Apache License, Version 2.0 (the \"License\");\n",
    "# you may not use this file except in compliance with the License.\n",
    "# You may obtain a copy of the License at\n",
    "#\n",
    "# https://www.apache.org/licenses/LICENSE-2.0\n",
    "#\n",
    "# Unless required by applicable law or agreed to in writing, software\n",
    "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
    "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
    "# See the License for the specific language governing permissions and\n",
    "# limitations under the License."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "RPHFYhkvlCk5"
   },
   "source": [
    "# Qubit picking with Loschmidt echoes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "VckjDym5yr5F"
   },
   "source": [
    "<table class=\"tfo-notebook-buttons\" align=\"left\">\n",
    "  <td>\n",
    "    <a target=\"_blank\" href=\"https://quantumai.google/cirq/tutorials/google/echoes\"><img src=\"https://quantumai.google/site-assets/images/buttons/quantumai_logo_1x.png\" />View on QuantumAI</a>\n",
    "  </td>\n",
    "  <td>\n",
    "    <a target=\"_blank\" href=\"https://colab.research.google.com/github/quantumlib/Cirq/blob/main/docs/tutorials/google/echoes.ipynb\"><img src=\"https://quantumai.google/site-assets/images/buttons/colab_logo_1x.png\" />Run in Google Colab</a>\n",
    "  </td>\n",
    "  <td>\n",
    "    <a target=\"_blank\" href=\"https://github.com/quantumlib/Cirq/blob/main/docs/tutorials/google/echoes.ipynb\"><img src=\"https://quantumai.google/site-assets/images/buttons/github_logo_1x.png\" />View source on GitHub</a>\n",
    "  </td>\n",
    "  <td>\n",
    "    <a href=\"https://storage.googleapis.com/tensorflow_docs/Cirq/docs/tutorials/google/echoes.ipynb\"><img src=\"https://quantumai.google/site-assets/images/buttons/download_icon_1x.png\" />Download notebook</a>\n",
    "  </td>\n",
    "</table>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "svfDw7oolCk9"
   },
   "source": [
    "A Loschmidt echo circuit applies $UU^\\dagger$ for some unitary $U$ and measures the probability of the ground state $p(0)$. In the noiseless case, $p(0) = 1$, and the deviation from this value gives some indication to the amount of noise in the processor. \n",
    "\n",
    "In particular, by fitting an exponential decay to the measured ground state probability vs. number of cycles (depth of $U$), we can estimate the gate error per cycle on a set of qubits. By varying this experiment over different qubit configurations, we can select the best configuration (lowest gate error per cycle) to run an experiment on."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Qtx9fuySJAN6"
   },
   "source": [
    "**Disclaimer**: The data shown in this tutorial is exemplary and does not reflect the performance of QCS in production."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "scdu6m_klCk_"
   },
   "source": [
    "## Setup"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "bpBUR4JblClA"
   },
   "source": [
    "We first install Cirq then import packages we will use.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "id": "zFBghsX8lClC"
   },
   "outputs": [],
   "source": [
    "try:\n",
    "    import cirq\n",
    "except ImportError:\n",
    "    !pip install --quiet cirq"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "id": "AW8OeKgJlClE"
   },
   "outputs": [],
   "source": [
    "from typing import Sequence\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "import cirq\n",
    "import cirq_google as cg\n",
    "from cirq.experiments import random_rotations_between_grid_interaction_layers_circuit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "kFghnYO3lClG"
   },
   "source": [
    "Next, we authorize to use the Quantum Computing Service."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "cellView": "form",
    "id": "SgIbS2Vmb5RB"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Getting OAuth2 credentials.\n",
      "Press enter after entering the verification code.\n",
      "Authentication complete.\n",
      "Successful authentication to Google Cloud.\n"
     ]
    }
   ],
   "source": [
    "# The Google Cloud Project id to use.\n",
    "project_id = ''  # @param {type:\"string\"}\n",
    "processor_id = \"\"  # @param {type:\"string\"}\n",
    "\n",
    "from cirq_google.engine.qcs_notebook import get_qcs_objects_for_notebook\n",
    "\n",
    "device_sampler = get_qcs_objects_for_notebook(project_id, processor_id)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "oCT2mI2dlClM"
   },
   "source": [
    "## Creating the circuits"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "mg1bGbLxlClN"
   },
   "source": [
    "The function below creates a Loschmidt echo using a random circuit for $U$ on a given set of `qubits` for a given number of `cycles`. A `pause` can be optionally applied after $U$ and before $U^\\dagger$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "2VRqUT20lClP"
   },
   "outputs": [],
   "source": [
    "def create_loschmidt_echo_circuit(\n",
    "    qubits: Sequence[cirq.GridQubit],\n",
    "    cycles: int,\n",
    "    twoq_gate: cirq.Gate = cirq.FSimGate(np.pi / 4, 0.0),\n",
    "    pause: cirq.Duration | None = None,\n",
    "    seed: int | None = None,\n",
    ") -> cirq.Circuit:\n",
    "    r\"\"\"Returns a Loschmidt echo circuit using a random unitary U.\n",
    "\n",
    "    Args:\n",
    "        qubits: Qubits to use.\n",
    "        cycles: Depth of random rotations in the forward & reverse unitary.\n",
    "        twoq_gate: Two-qubit gate to use.\n",
    "        pause: Optional duration to pause for between U and U^\\dagger.\n",
    "        seed: Seed for circuit generation.\n",
    "    \"\"\"\n",
    "    # Forward (U) operations.\n",
    "    forward = random_rotations_between_grid_interaction_layers_circuit(\n",
    "        qubits,\n",
    "        depth=cycles,\n",
    "        two_qubit_op_factory=lambda a, b, _: twoq_gate.on(a, b),\n",
    "        pattern=cirq.experiments.GRID_STAGGERED_PATTERN,\n",
    "        single_qubit_gates=[\n",
    "            cirq.PhasedXPowGate(phase_exponent=p, exponent=0.5) for p in np.arange(-1.0, 1.0, 0.25)\n",
    "        ],\n",
    "        seed=seed,\n",
    "    )\n",
    "\n",
    "    # Optional pause.\n",
    "    if pause is not None:\n",
    "        wait = cirq.Moment(cirq.WaitGate(pause).on(q) for q in qubits)\n",
    "    else:\n",
    "        wait = []\n",
    "\n",
    "    # Reverse (U^\\dagger) operations.\n",
    "    reverse = cirq.inverse(forward)\n",
    "\n",
    "    # Measure all qubits.\n",
    "    measure = cirq.measure(*qubits, key=\"z\")\n",
    "\n",
    "    return forward + wait + reverse + measure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "0zFvjmlxlClR"
   },
   "source": [
    "For example, we visualize a Loschmidt echo circuit below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "id": "itxxaul9lClR"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"overflow: auto; white-space: pre;\">(0, 0): ───PhX(-0.5)^0.5───FSim(0.25π, 0)───PhX(1)^0.5───────────────────────PhX(-0.5)^0.5────WaitGate(5.0 ns)───PhX(-0.5)^-0.5──────────────────────PhX(1)^-0.5──────FSim(-0.25π, 0)───PhX(-0.5)^-0.5───M(&#x27;z&#x27;)───\n",
       "                           │                                                                                                                                          │                                  │\n",
       "(0, 1): ───PhX(0.75)^0.5───┼────────────────PhX(0.5)^0.5────FSim(0.25π, 0)───PhX(0.75)^0.5────WaitGate(5.0 ns)───PhX(0.75)^-0.5────FSim(-0.25π, 0)───PhX(0.5)^-0.5────┼─────────────────PhX(0.75)^-0.5───M────────\n",
       "                           │                                │                                                                      │                                  │                                  │\n",
       "(1, 0): ───PhX(0)^0.5──────FSim(0.25π, 0)───PhX(1)^0.5──────┼────────────────PhX(-0.25)^0.5───WaitGate(5.0 ns)───PhX(-0.25)^-0.5───┼─────────────────PhX(1)^-0.5──────FSim(-0.25π, 0)───PhX(0)^-0.5──────M────────\n",
       "                                                            │                                                                      │                                                                     │\n",
       "(1, 1): ───PhX(-0.5)^0.5────────────────────PhX(0.75)^0.5───FSim(0.25π, 0)───PhX(-0.75)^0.5───WaitGate(5.0 ns)───PhX(-0.75)^-0.5───FSim(-0.25π, 0)───PhX(0.75)^-0.5─────────────────────PhX(-0.5)^-0.5───M────────</pre>"
      ],
      "text/plain": [
       "(0, 0): ───PhX(-0.5)^0.5───FSim(0.25π, 0)───PhX(1)^0.5───────────────────────PhX(-0.5)^0.5────WaitGate(5.0 ns)───PhX(-0.5)^-0.5──────────────────────PhX(1)^-0.5──────FSim(-0.25π, 0)───PhX(-0.5)^-0.5───M('z')───\n",
       "                           │                                                                                                                                          │                                  │\n",
       "(0, 1): ───PhX(0.75)^0.5───┼────────────────PhX(0.5)^0.5────FSim(0.25π, 0)───PhX(0.75)^0.5────WaitGate(5.0 ns)───PhX(0.75)^-0.5────FSim(-0.25π, 0)───PhX(0.5)^-0.5────┼─────────────────PhX(0.75)^-0.5───M────────\n",
       "                           │                                │                                                                      │                                  │                                  │\n",
       "(1, 0): ───PhX(0)^0.5──────FSim(0.25π, 0)───PhX(1)^0.5──────┼────────────────PhX(-0.25)^0.5───WaitGate(5.0 ns)───PhX(-0.25)^-0.5───┼─────────────────PhX(1)^-0.5──────FSim(-0.25π, 0)───PhX(0)^-0.5──────M────────\n",
       "                                                            │                                                                      │                                                                     │\n",
       "(1, 1): ───PhX(-0.5)^0.5────────────────────PhX(0.75)^0.5───FSim(0.25π, 0)───PhX(-0.75)^0.5───WaitGate(5.0 ns)───PhX(-0.75)^-0.5───FSim(-0.25π, 0)───PhX(0.75)^-0.5─────────────────────PhX(-0.5)^-0.5───M────────"
      ]
     },
     "execution_count": 7,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"See an example circuit.\"\"\"\n",
    "\n",
    "circuit = create_loschmidt_echo_circuit(\n",
    "    qubits=cirq.GridQubit.square(2), cycles=2, pause=cirq.Duration(nanos=5.0)\n",
    ")\n",
    "circuit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Zh9RRtvFlClS"
   },
   "source": [
    "As mentioned, without noise all measurements should be $0$s. We verify this below by computing the ground state probability (or *survival probability*) on a noiseless simulator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "id": "GusqLsqolClT"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Survival probability: 1.0\n"
     ]
    }
   ],
   "source": [
    "\"\"\"Loschmidt echo benchmark on a simulator.\"\"\"\n",
    "\n",
    "# Simulate the circuit.\n",
    "nreps = 20_000\n",
    "res = cirq.Simulator().run(circuit, repetitions=nreps)\n",
    "\n",
    "# Verify the survival probability is 1.0.\n",
    "ground_state_prob = np.mean(np.sum(res.measurements[\"z\"], axis=1) == 0)\n",
    "print(\"Survival probability:\", ground_state_prob)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "T5GVbdbAlClU"
   },
   "source": [
    "For convenience, we define a helper function to compute the ground state probability from a measurement result below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "id": "HIFszRzllClV"
   },
   "outputs": [],
   "source": [
    "def to_ground_state_prob(result: cirq.Result) -> float:\n",
    "    return np.mean(np.sum(result.measurements[\"z\"], axis=1) == 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "3FgDLESFlClV"
   },
   "source": [
    "## Running the circuits"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "nk7YRDSjlClV"
   },
   "source": [
    "We now create several Loschmidt echo circuits and run them on the Quantum Engine. The next cell sets various parameters including \n",
    "\n",
    "* `processor_id`, \n",
    "* list of `cycles` (depths) to use,\n",
    "* (optional) `pause`, \n",
    "* and the number of repetitions `nreps`. \n",
    "\n",
    "The `trials` parameter is the number of independent experiments to perform with the above parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "id": "eBcFya4alClW"
   },
   "outputs": [],
   "source": [
    "\"\"\"Set parameters for Loschmidt echo benchmark.\"\"\"\n",
    "\n",
    "processor_id = \"weber\"\n",
    "cycle_values = range(0, 80 + 1, 2)\n",
    "pause = None\n",
    "nreps = 20_000\n",
    "trials = 10"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "VrHcKxjKC90B"
   },
   "source": [
    "We now select several qubit configurations to run the Loschmidt echo experiment on. A good starting point for picking qubits is the calibration data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "id": "jf2O2lTBDLMB"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light",
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "calibration = cg.get_engine_calibration(processor_id=processor_id)\n",
    "metric = \"two_qubit_sqrt_iswap_gate_xeb_pauli_error_per_cycle\"\n",
    "\n",
    "_ = calibration.heatmap(metric).plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "bkCQ5yELDP4z"
   },
   "source": [
    "Using this calibration information, we select several candidate sets of qubits to use."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "b2ef00622a21"
   },
   "source": [
    "Note: We intentionally select one qubit configuration with a high calibration error to show this propagates through in our results. In practice, one would usually want all qubit configurations to have low errors to find the best one."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "id": "wIUj93ecTlrZ"
   },
   "outputs": [],
   "source": [
    "\"\"\"Pick sets of qubits to run Loschmidt echoes on.\"\"\"\n",
    "\n",
    "qubit_sets_indices = [\n",
    "    [(4, 7), (4, 8), (5, 8), (5, 7)],\n",
    "    [\n",
    "        (0, 5),\n",
    "        (0, 6),\n",
    "        (1, 6),\n",
    "        (1, 5),\n",
    "    ],  # From the calibration, we expect this to be the worst configuration.\n",
    "    [(2, 6), (2, 7), (3, 7), (3, 6)],\n",
    "    [(7, 3), (7, 4), (8, 4), (8, 3)],\n",
    "]\n",
    "\n",
    "# Convert indices to grid qubits.\n",
    "qubit_sets = [\n",
    "    [cirq.GridQubit(*idx) for idx in qubit_indices] for qubit_indices in qubit_sets_indices\n",
    "]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "dGO5w_jmDjjy"
   },
   "source": [
    "We now run the Loschmidt echo circuits on each candidate set of qubits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "id": "7OP1nTPpzf1E"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " Status: On trial 10 / 10"
     ]
    }
   ],
   "source": [
    "\"\"\"Run the Loschmidt echo experiment.\"\"\"\n",
    "\n",
    "sampler = cg.get_engine_sampler(processor_id=processor_id, gate_set_name=\"sqrt_iswap\")\n",
    "\n",
    "probs = []\n",
    "for trial in range(trials):\n",
    "    print(\"\\r\", f\"Status: On trial {trial + 1} / {trials}\", end=\"\")\n",
    "\n",
    "    # Create the batch of circuits.\n",
    "    batch = [\n",
    "        create_loschmidt_echo_circuit(qubits, cycles=c, pause=pause, seed=trial)\n",
    "        for qubits in qubit_sets\n",
    "        for c in cycle_values\n",
    "    ]\n",
    "\n",
    "    # Run the batch.\n",
    "    results = sampler.run_batch(programs=batch, repetitions=nreps)\n",
    "\n",
    "    # Determine the ground state probability for each result.\n",
    "    probs.append([to_ground_state_prob(*res) for res in results])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "WPyvTf-7lCle"
   },
   "source": [
    "## Plotting the results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "CDuqfS00DsUS"
   },
   "source": [
    "Below we plot the average survival probability on each qubit configuration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "id": "ioEfNdMJrvwC"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light",
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Average data over trials.\n",
    "avg_probs = np.average(probs, axis=0).reshape(len(qubit_sets), len(cycle_values))\n",
    "std_probs = np.std(probs, axis=0).reshape(len(qubit_sets), len(cycle_values))\n",
    "\n",
    "# Plotting.\n",
    "plt.figure(figsize=(7, 5))\n",
    "\n",
    "for i in range(len(qubit_sets)):\n",
    "    plt.errorbar(\n",
    "        x=cycle_values,\n",
    "        y=avg_probs[i],\n",
    "        yerr=std_probs[i],\n",
    "        capsize=5,\n",
    "        lw=2,\n",
    "        label=f\"Qubit configuration {i}\",\n",
    "    )\n",
    "\n",
    "plt.legend()\n",
    "plt.ylabel(\"Survival probability\")\n",
    "plt.xlabel(\"Cycle\")\n",
    "plt.grid(\"on\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "0WGZ9T2q6YI1"
   },
   "source": [
    "The initial point (at zero cycles) reflects readout error, and the decay rate reflects the gate error per cycle. We fit an exponential to each curve to determine the gate error per cycle below."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "H2QMj50-ODPc"
   },
   "source": [
    "Note: To ensure good fit parameters are calculated, it is important to collect enough data such that the above curves reach their asymptote."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "id": "4AB4mkmQ6WkC"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Error/cycle on qubit configuration 0: 4.85%\n",
      "Error/cycle on qubit configuration 1: 7.35%\n",
      "Error/cycle on qubit configuration 2: 5.87%\n",
      "Error/cycle on qubit configuration 3: 6.0%\n"
     ]
    }
   ],
   "source": [
    "\"\"\"Fit an exponential decay to the collected data.\"\"\"\n",
    "\n",
    "from scipy.optimize import curve_fit\n",
    "\n",
    "\n",
    "def fit(cycle, a, f):\n",
    "    return a * np.exp((f - 1.0) * cycle)\n",
    "\n",
    "\n",
    "for i in range(len(qubit_sets)):\n",
    "    (a, f), _ = curve_fit(fit, xdata=cycle_values, ydata=avg_probs[i])\n",
    "    print(f\"Error/cycle on qubit configuration {i}: {round((1 - f) * 100, 2)}%\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "tf-kNlevK12O"
   },
   "source": [
    "Note: The definition of cycle here is different than that used in the calibration metrics."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ktu8Ud4tBiuF"
   },
   "source": [
    "At this point we can select the qubit configuration with the lowest error per cycle (assuming all configurations are on the same number of qubits)."
   ]
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "name": "echoes.ipynb",
   "toc_visible": true
  },
  "kernelspec": {
   "display_name": "Python 3",
   "name": "python3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
